A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that the island is

398 ft from her position and the ship is 541 ft from her position. Using thecompass, she finds that theship's azimuth(the direction measured as an angle fromnorth) is 329 degrees and that of the island is 48 degrees. What is the distance between the ship and theisland?

Three figures labeled Ship, Island and Surveyor are connected by line segments forming a triangle. The side between Ship and Surveyor has length 541 feet and the side between Island and Surveyor has length 398 feet. A vertical dotted line segment extends upward from Surveyor to a point N. The angle between this line segment and the side between Island and surveyor measures 48 degrees and the angle between this line segment, rotating clockwise to the side between Ship and Surveyor measures 329 degrees.

The distance between the ship and the island is

nothing

ft.

(Round to the nearest foot asneeded.)